A factory makes switches. The probability that a switch is defective is 0.04. The factory tests a ra

Question

A factory makes switches. The probability that a switch is defective is 0.04. The factory tests a random sample of 100 switches. Find the mean number of defective switches in the sample. Find the probability that there are exactly six defective switches in the sample. Find the probability that there is at least one defective switch in the sample.

Accepted Answer

$P(X=6)=0.1052$, and $P(X\ge1)=1-(0.96)^{100}=0.9831$.

Use a binomial model for defects, including expectation and at-least-one probability.

Use a binomial model for defects, including expectation and at-least-one probability.

Solution:

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